Step-by-step explanation:
OP=11.2
m<Q= 42⁰
m<R=48⁰
The tools used are....
I have used the property of Pythagoras Theorm to get the length of side QP, I have also used the property of inverse function of sin to get the measure of angle Q and the property of sum of angles of triangle to get measure of angle of R
Answer:
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x² + 10
(4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
0 = x2 – 9x + 20 (liked terms are grouped and simplified)
PROOF: 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
hope this helps
A factor is a group of 2 or more numbers that can be multiplied to make a greater number.
The factors for 400 include:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200
When paired together:
(1, 400), (2, 200), (4, 100), (5, 80), (8, 50), (10,40), (16, 25), (20,20)
Prime factors:
1, 2, 5
